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Finding the Fourth Proportional to 3,884.58, 5,797.00 and 3,862.39

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Solution

The fourth proportional to 3,884.58, 5,797.00 and 3,862.39 is: 5,763.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.58 : 5,797.00 = 3,862.39 : x
  2. Step 2: Convert to fraction form
    3,884.58/5,797.00 = 3,862.39/x
  3. Step 3: Cross multiply
    3,884.58x = 5,797.00 × 3,862.39
  4. Step 4: Simplify right side
    3,884.58x = 22,390,303.20
  5. Step 5: Solve for x
    x = 22,390,303.20/3,884.58
  6. Step 6: Final answer
    x = 5,763.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.